Temat: nonlocal potential - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Direct and inverse spectral problems for Dirac systems with nonlocal potentials
Autorzy:: Dębowska, Kamila
Nizhnik, Leonid P.
Powiązania:: https://bibliotekanauki.pl/articles/255043.pdf
Data publikacji:: 2019
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: inverse spectral problem
nonlocal potential
nonlocal boundary conditions
Dirac system
Opis:: The main purposes of this paper are to study the direct and inverse spectral problems of the one-dimensional Dirac operators with nonlocal potentials. Based on information about the spectrum of the operator, we find the potential and recover the form of the Dirac system. The methods used allow us to reduce the situation to the one-dimensional case. In accordance with the given assumptions and conditions we consider problems in a specific way. We describe the spectrum, the resolvent, the characteristic function etc. Illustrative examples are also given.
Źródło:: Opuscula Mathematica; 2019, 39, 5; 645-673
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On one-dimensional diffusion processes with moving membranes
Autorzy:: Kopytko, Bohdan
Shevchuk, Roman
Powiązania:: https://bibliotekanauki.pl/articles/2202027.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: diffusion processes with membrane
two-parapeter Feller semigroup
nonlocal boundary conditions
method of potential theory
procesy dyfuzyjne z membraną
dwuparapetowa półgrupa Fellera
nielokalny warunek brzegowy
metoda teorii potencjału
Opis:: Using the method of the classical potential theory, we construct the two-parameter Feller semigroup associated, on the given interval of the real line, with the Markov proces such that it is a result of pasting together, at some point of the interval, two ordinary diffusion processes given in sub-domains of this interval. It is assumed that the position on the line of boundary points of these sub-domains depends on the time variable. In addition, some variants of the general nonlocal boundary condition of Feller-Wentzell’s type are given in these points. The resulting process can serve as a one-dimensional mathematical model of the physical phenomenon of diffusion in media with moving membranes.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 45--57
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja